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5456604132 = 22327212832411
BaseRepresentation
bin1010001010011110…
…10010101111100100
3112002021120012200100
411011033102233210
542133342313012
62301241544100
7252135240600
oct50517225744
915067505610
105456604132
1123501244a1
1210834a5030
1368c62b555
1439a99c500
1521e09b8dc
hex1453d2be4

5456604132 has 108 divisors (see below), whose sum is σ = 16064180496. Its totient is φ = 1557168480.

The previous prime is 5456604103. The next prime is 5456604133. The reversal of 5456604132 is 2314066545.

5456604132 is a `hidden beast` number, since 5 + 45 + 6 + 604 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5456604133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2262007 + ... + 2264417.

It is an arithmetic number, because the mean of its divisors is an integer number (148742412).

Almost surely, 25456604132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456604132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032090248).

5456604132 is an abundant number, since it is smaller than the sum of its proper divisors (10607576364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5456604132 is a wasteful number, since it uses less digits than its factorization.

5456604132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5456604132 is about 73868.8305850309. The cubic root of 5456604132 is about 1760.5194029167.

The spelling of 5456604132 in words is "five billion, four hundred fifty-six million, six hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1283 1764 2411 2566 3849 4822 5132 7233 7698 8981 9644 11547 14466 15396 16877 17962 21699 23094 26943 28932 33754 35924 43398 46188 50631 53886 62867 67508 80829 86796 101262 107772 118139 125734 151893 161658 188601 202524 236278 251468 303786 323316 354417 377202 472556 565803 607572 708834 754404 1063251 1131606 1417668 2126502 2263212 3093313 4253004 6186626 9279939 12373252 18559878 21653191 27839817 37119756 43306382 55679634 64959573 86612764 111359268 129919146 151572337 194878719 259838292 303144674 389757438 454717011 606289348 779514876 909434022 1364151033 1818868044 2728302066 5456604132